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Finding the Fourth Proportional to 6,308.11, 9,452.44 and 3,994.75

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Solution

The fourth proportional to 6,308.11, 9,452.44 and 3,994.75 is: 5,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.11 : 9,452.44 = 3,994.75 : x
  2. Step 2: Convert to fraction form
    6,308.11/9,452.44 = 3,994.75/x
  3. Step 3: Cross multiply
    6,308.11x = 9,452.44 × 3,994.75
  4. Step 4: Simplify right side
    6,308.11x = 37,760,134.69
  5. Step 5: Solve for x
    x = 37,760,134.69/6,308.11
  6. Step 6: Final answer
    x = 5,985.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.